Finding the Third Proportional to 71,085 and 106,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,085 : 106,807.50 = 106,807.50 : x
2. Step 2: Convert to fraction form
   71,085/106,807.50 = 106,807.50/x
3. Step 3: Cross multiply
   71,085x = 106,807.50 × 106,807.50
4. Step 4: Simplify right side
   71,085x = 11,407,842,056.25
5. Step 5: Solve for x
   x = 11,407,842,056.25/71,085
6. Step 6: Final answer
   x = 160,481.71