Finding the Third Proportional to 89,506 and 125,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,506 : 125,470.50 = 125,470.50 : x
2. Step 2: Convert to fraction form
   89,506/125,470.50 = 125,470.50/x
3. Step 3: Cross multiply
   89,506x = 125,470.50 × 125,470.50
4. Step 4: Simplify right side
   89,506x = 15,742,846,370.25
5. Step 5: Solve for x
   x = 15,742,846,370.25/89,506
6. Step 6: Final answer
   x = 175,885.93