Finding the Third Proportional to 138,297 and 301,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,297 : 301,727.50 = 301,727.50 : x
2. Step 2: Convert to fraction form
   138,297/301,727.50 = 301,727.50/x
3. Step 3: Cross multiply
   138,297x = 301,727.50 × 301,727.50
4. Step 4: Simplify right side
   138,297x = 91,039,484,256.25
5. Step 5: Solve for x
   x = 91,039,484,256.25/138,297
6. Step 6: Final answer
   x = 658,289.65