Finding the Third Proportional to 85,904 and 93,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,904 : 93,691.50 = 93,691.50 : x
2. Step 2: Convert to fraction form
   85,904/93,691.50 = 93,691.50/x
3. Step 3: Cross multiply
   85,904x = 93,691.50 × 93,691.50
4. Step 4: Simplify right side
   85,904x = 8,778,097,172.25
5. Step 5: Solve for x
   x = 8,778,097,172.25/85,904
6. Step 6: Final answer
   x = 102,184.96