Finding the Third Proportional to 78,866 and 113,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,866 : 113,364.50 = 113,364.50 : x
2. Step 2: Convert to fraction form
   78,866/113,364.50 = 113,364.50/x
3. Step 3: Cross multiply
   78,866x = 113,364.50 × 113,364.50
4. Step 4: Simplify right side
   78,866x = 12,851,509,860.25
5. Step 5: Solve for x
   x = 12,851,509,860.25/78,866
6. Step 6: Final answer
   x = 162,953.74