Finding the Third Proportional to 64,836 and 140,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,836 : 140,737.50 = 140,737.50 : x
2. Step 2: Convert to fraction form
   64,836/140,737.50 = 140,737.50/x
3. Step 3: Cross multiply
   64,836x = 140,737.50 × 140,737.50
4. Step 4: Simplify right side
   64,836x = 19,807,043,906.25
5. Step 5: Solve for x
   x = 19,807,043,906.25/64,836
6. Step 6: Final answer
   x = 305,494.54