Finding the Third Proportional to 90,023.06 and 194,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,023.06 : 194,002.50 = 194,002.50 : x
2. Step 2: Convert to fraction form
   90,023.06/194,002.50 = 194,002.50/x
3. Step 3: Cross multiply
   90,023.06x = 194,002.50 × 194,002.50
4. Step 4: Simplify right side
   90,023.06x = 37,636,970,006.25
5. Step 5: Solve for x
   x = 37,636,970,006.25/90,023.06
6. Step 6: Final answer
   x = 418,081.42