Finding the Third Proportional to 72,820 and 113,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,820 : 113,113.50 = 113,113.50 : x
2. Step 2: Convert to fraction form
   72,820/113,113.50 = 113,113.50/x
3. Step 3: Cross multiply
   72,820x = 113,113.50 × 113,113.50
4. Step 4: Simplify right side
   72,820x = 12,794,663,882.25
5. Step 5: Solve for x
   x = 12,794,663,882.25/72,820
6. Step 6: Final answer
   x = 175,702.61