Finding the Third Proportional to 58,127 and 89,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,127 : 89,782.50 = 89,782.50 : x
2. Step 2: Convert to fraction form
   58,127/89,782.50 = 89,782.50/x
3. Step 3: Cross multiply
   58,127x = 89,782.50 × 89,782.50
4. Step 4: Simplify right side
   58,127x = 8,060,897,306.25
5. Step 5: Solve for x
   x = 8,060,897,306.25/58,127
6. Step 6: Final answer
   x = 138,677.33