Finding the Third Proportional to 117,585 and 277,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,585 : 277,528.50 = 277,528.50 : x
2. Step 2: Convert to fraction form
   117,585/277,528.50 = 277,528.50/x
3. Step 3: Cross multiply
   117,585x = 277,528.50 × 277,528.50
4. Step 4: Simplify right side
   117,585x = 77,022,068,312.25
5. Step 5: Solve for x
   x = 77,022,068,312.25/117,585
6. Step 6: Final answer
   x = 655,033.11