Finding the Third Proportional to 76,929 and 112,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,929 : 112,897.50 = 112,897.50 : x
2. Step 2: Convert to fraction form
   76,929/112,897.50 = 112,897.50/x
3. Step 3: Cross multiply
   76,929x = 112,897.50 × 112,897.50
4. Step 4: Simplify right side
   76,929x = 12,745,845,506.25
5. Step 5: Solve for x
   x = 12,745,845,506.25/76,929
6. Step 6: Final answer
   x = 165,683.23