Finding the Third Proportional to 78,897 and 115,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,897 : 115,705.50 = 115,705.50 : x
2. Step 2: Convert to fraction form
   78,897/115,705.50 = 115,705.50/x
3. Step 3: Cross multiply
   78,897x = 115,705.50 × 115,705.50
4. Step 4: Simplify right side
   78,897x = 13,387,762,730.25
5. Step 5: Solve for x
   x = 13,387,762,730.25/78,897
6. Step 6: Final answer
   x = 169,686.59