Finding the Third Proportional to 117,613 and 277,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,613 : 277,598.50 = 277,598.50 : x
2. Step 2: Convert to fraction form
   117,613/277,598.50 = 277,598.50/x
3. Step 3: Cross multiply
   117,613x = 277,598.50 × 277,598.50
4. Step 4: Simplify right side
   117,613x = 77,060,927,202.25
5. Step 5: Solve for x
   x = 77,060,927,202.25/117,613
6. Step 6: Final answer
   x = 655,207.56