Finding the Third Proportional to 78,535 and 121,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,535 : 121,738.50 = 121,738.50 : x
2. Step 2: Convert to fraction form
   78,535/121,738.50 = 121,738.50/x
3. Step 3: Cross multiply
   78,535x = 121,738.50 × 121,738.50
4. Step 4: Simplify right side
   78,535x = 14,820,262,382.25
5. Step 5: Solve for x
   x = 14,820,262,382.25/78,535
6. Step 6: Final answer
   x = 188,709.01