Finding the Third Proportional to 77,949 and 114,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,949 : 114,007.50 = 114,007.50 : x
2. Step 2: Convert to fraction form
   77,949/114,007.50 = 114,007.50/x
3. Step 3: Cross multiply
   77,949x = 114,007.50 × 114,007.50
4. Step 4: Simplify right side
   77,949x = 12,997,710,056.25
5. Step 5: Solve for x
   x = 12,997,710,056.25/77,949
6. Step 6: Final answer
   x = 166,746.33