Finding the Third Proportional to 78,213 and 121,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,213 : 121,162.50 = 121,162.50 : x
2. Step 2: Convert to fraction form
   78,213/121,162.50 = 121,162.50/x
3. Step 3: Cross multiply
   78,213x = 121,162.50 × 121,162.50
4. Step 4: Simplify right side
   78,213x = 14,680,351,406.25
5. Step 5: Solve for x
   x = 14,680,351,406.25/78,213
6. Step 6: Final answer
   x = 187,697.08