Finding the Third Proportional to 77,949.50 and 114,008.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,949.50 : 114,008.25 = 114,008.25 : x
2. Step 2: Convert to fraction form
   77,949.50/114,008.25 = 114,008.25/x
3. Step 3: Cross multiply
   77,949.50x = 114,008.25 × 114,008.25
4. Step 4: Simplify right side
   77,949.50x = 12,997,881,068.06
5. Step 5: Solve for x
   x = 12,997,881,068.06/77,949.50
6. Step 6: Final answer
   x = 166,747.46