Finding the Third Proportional to 78,633 and 114,925.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,633 : 114,925.50 = 114,925.50 : x
2. Step 2: Convert to fraction form
   78,633/114,925.50 = 114,925.50/x
3. Step 3: Cross multiply
   78,633x = 114,925.50 × 114,925.50
4. Step 4: Simplify right side
   78,633x = 13,207,870,550.25
5. Step 5: Solve for x
   x = 13,207,870,550.25/78,633
6. Step 6: Final answer
   x = 167,968.54