Finding the Third Proportional to 64,852.50 and 142,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,852.50 : 142,007.50 = 142,007.50 : x
2. Step 2: Convert to fraction form
   64,852.50/142,007.50 = 142,007.50/x
3. Step 3: Cross multiply
   64,852.50x = 142,007.50 × 142,007.50
4. Step 4: Simplify right side
   64,852.50x = 20,166,130,056.25
5. Step 5: Solve for x
   x = 20,166,130,056.25/64,852.50
6. Step 6: Final answer
   x = 310,953.78