Finding the Third Proportional to 117,691 and 277,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,691 : 277,599.50 = 277,599.50 : x
2. Step 2: Convert to fraction form
   117,691/277,599.50 = 277,599.50/x
3. Step 3: Cross multiply
   117,691x = 277,599.50 × 277,599.50
4. Step 4: Simplify right side
   117,691x = 77,061,482,400.25
5. Step 5: Solve for x
   x = 77,061,482,400.25/117,691
6. Step 6: Final answer
   x = 654,778.04