Finding the Third Proportional to 98,712 and 214,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,712 : 214,042.50 = 214,042.50 : x
2. Step 2: Convert to fraction form
   98,712/214,042.50 = 214,042.50/x
3. Step 3: Cross multiply
   98,712x = 214,042.50 × 214,042.50
4. Step 4: Simplify right side
   98,712x = 45,814,191,806.25
5. Step 5: Solve for x
   x = 45,814,191,806.25/98,712
6. Step 6: Final answer
   x = 464,119.78