Finding the Third Proportional to 77,730 and 105,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,730 : 105,978.75 = 105,978.75 : x
2. Step 2: Convert to fraction form
   77,730/105,978.75 = 105,978.75/x
3. Step 3: Cross multiply
   77,730x = 105,978.75 × 105,978.75
4. Step 4: Simplify right side
   77,730x = 11,231,495,451.56
5. Step 5: Solve for x
   x = 11,231,495,451.56/77,730
6. Step 6: Final answer
   x = 144,493.70