Finding the Third Proportional to 117,633 and 277,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,633 : 277,648.50 = 277,648.50 : x
2. Step 2: Convert to fraction form
   117,633/277,648.50 = 277,648.50/x
3. Step 3: Cross multiply
   117,633x = 277,648.50 × 277,648.50
4. Step 4: Simplify right side
   117,633x = 77,088,689,552.25
5. Step 5: Solve for x
   x = 77,088,689,552.25/117,633
6. Step 6: Final answer
   x = 655,332.17