Finding the Third Proportional to 78,411 and 121,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,411 : 121,585.50 = 121,585.50 : x
2. Step 2: Convert to fraction form
   78,411/121,585.50 = 121,585.50/x
3. Step 3: Cross multiply
   78,411x = 121,585.50 × 121,585.50
4. Step 4: Simplify right side
   78,411x = 14,783,033,810.25
5. Step 5: Solve for x
   x = 14,783,033,810.25/78,411
6. Step 6: Final answer
   x = 188,532.65