Finding the Third Proportional to 76,809 and 112,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,809 : 112,702.50 = 112,702.50 : x
2. Step 2: Convert to fraction form
   76,809/112,702.50 = 112,702.50/x
3. Step 3: Cross multiply
   76,809x = 112,702.50 × 112,702.50
4. Step 4: Simplify right side
   76,809x = 12,701,853,506.25
5. Step 5: Solve for x
   x = 12,701,853,506.25/76,809
6. Step 6: Final answer
   x = 165,369.34