Finding the Third Proportional to 77,946 and 114,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,946 : 114,141.50 = 114,141.50 : x
2. Step 2: Convert to fraction form
   77,946/114,141.50 = 114,141.50/x
3. Step 3: Cross multiply
   77,946x = 114,141.50 × 114,141.50
4. Step 4: Simplify right side
   77,946x = 13,028,282,022.25
5. Step 5: Solve for x
   x = 13,028,282,022.25/77,946
6. Step 6: Final answer
   x = 167,144.97