Finding the Third Proportional to 85,924.50 and 187,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,924.50 : 187,096.50 = 187,096.50 : x
2. Step 2: Convert to fraction form
   85,924.50/187,096.50 = 187,096.50/x
3. Step 3: Cross multiply
   85,924.50x = 187,096.50 × 187,096.50
4. Step 4: Simplify right side
   85,924.50x = 35,005,100,312.25
5. Step 5: Solve for x
   x = 35,005,100,312.25/85,924.50
6. Step 6: Final answer
   x = 407,393.70