Finding the Third Proportional to 75,127.50 and 164,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,127.50 : 164,335.50 = 164,335.50 : x
2. Step 2: Convert to fraction form
   75,127.50/164,335.50 = 164,335.50/x
3. Step 3: Cross multiply
   75,127.50x = 164,335.50 × 164,335.50
4. Step 4: Simplify right side
   75,127.50x = 27,006,156,560.25
5. Step 5: Solve for x
   x = 27,006,156,560.25/75,127.50
6. Step 6: Final answer
   x = 359,470.99