Finding the Third Proportional to 90,029.25 and 193,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,029.25 : 193,402.50 = 193,402.50 : x
2. Step 2: Convert to fraction form
   90,029.25/193,402.50 = 193,402.50/x
3. Step 3: Cross multiply
   90,029.25x = 193,402.50 × 193,402.50
4. Step 4: Simplify right side
   90,029.25x = 37,404,527,006.25
5. Step 5: Solve for x
   x = 37,404,527,006.25/90,029.25
6. Step 6: Final answer
   x = 415,470.83