Finding the Third Proportional to 71,602.50 and 149,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,602.50 : 149,088.50 = 149,088.50 : x
2. Step 2: Convert to fraction form
   71,602.50/149,088.50 = 149,088.50/x
3. Step 3: Cross multiply
   71,602.50x = 149,088.50 × 149,088.50
4. Step 4: Simplify right side
   71,602.50x = 22,227,380,832.25
5. Step 5: Solve for x
   x = 22,227,380,832.25/71,602.50
6. Step 6: Final answer
   x = 310,427.44