Finding the Third Proportional to 64,876 and 140,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,876 : 140,829.50 = 140,829.50 : x
2. Step 2: Convert to fraction form
   64,876/140,829.50 = 140,829.50/x
3. Step 3: Cross multiply
   64,876x = 140,829.50 × 140,829.50
4. Step 4: Simplify right side
   64,876x = 19,832,948,070.25
5. Step 5: Solve for x
   x = 19,832,948,070.25/64,876
6. Step 6: Final answer
   x = 305,705.47