Finding the Third Proportional to 121,677 and 162,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,677 : 162,760.50 = 162,760.50 : x
2. Step 2: Convert to fraction form
   121,677/162,760.50 = 162,760.50/x
3. Step 3: Cross multiply
   121,677x = 162,760.50 × 162,760.50
4. Step 4: Simplify right side
   121,677x = 26,490,980,360.25
5. Step 5: Solve for x
   x = 26,490,980,360.25/121,677
6. Step 6: Final answer
   x = 217,715.59