Finding the Third Proportional to 130,782 and 185,107.88

Step by Step Solution

1. Step 1: Write the proportion equation
   130,782 : 185,107.88 = 185,107.88 : x
2. Step 2: Convert to fraction form
   130,782/185,107.88 = 185,107.88/x
3. Step 3: Cross multiply
   130,782x = 185,107.88 × 185,107.88
4. Step 4: Simplify right side
   130,782x = 34,264,925,387.02
5. Step 5: Solve for x
   x = 34,264,925,387.02/130,782
6. Step 6: Final answer
   x = 262,000.32