Finding the Third Proportional to 82,332 and 111,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,332 : 111,820.50 = 111,820.50 : x
2. Step 2: Convert to fraction form
   82,332/111,820.50 = 111,820.50/x
3. Step 3: Cross multiply
   82,332x = 111,820.50 × 111,820.50
4. Step 4: Simplify right side
   82,332x = 12,503,824,220.25
5. Step 5: Solve for x
   x = 12,503,824,220.25/82,332
6. Step 6: Final answer
   x = 151,870.77