Finding the Third Proportional to 118,508 and 156,590

Step by Step Solution

1. Step 1: Write the proportion equation
   118,508 : 156,590 = 156,590 : x
2. Step 2: Convert to fraction form
   118,508/156,590 = 156,590/x
3. Step 3: Cross multiply
   118,508x = 156,590 × 156,590
4. Step 4: Simplify right side
   118,508x = 24,520,428,100
5. Step 5: Solve for x
   x = 24,520,428,100/118,508
6. Step 6: Final answer
   x = 206,909.48