Finding the Third Proportional to 77,694 and 113,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,694 : 113,971.50 = 113,971.50 : x
2. Step 2: Convert to fraction form
   77,694/113,971.50 = 113,971.50/x
3. Step 3: Cross multiply
   77,694x = 113,971.50 × 113,971.50
4. Step 4: Simplify right side
   77,694x = 12,989,502,812.25
5. Step 5: Solve for x
   x = 12,989,502,812.25/77,694
6. Step 6: Final answer
   x = 167,187.98