Finding the Third Proportional to 99,764,692,708 and 217,091,994,632

Step by Step Solution

1. Step 1: Write the proportion equation
   99,764,692,708 : 217,091,994,632 = 217,091,994,632 : x
2. Step 2: Convert to fraction form
   99,764,692,708/217,091,994,632 = 217,091,994,632/x
3. Step 3: Cross multiply
   99,764,692,708x = 217,091,994,632 × 217,091,994,632
4. Step 4: Simplify right side
   99,764,692,708x = 47,128,934,133,300,314,767,360
5. Step 5: Solve for x
   x = 47,128,934,133,300,314,767,360/99,764,692,708
6. Step 6: Final answer
   x = 472,400,935,180.96