Finding the Third Proportional to 138,321 and 301,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,321 : 301,777.50 = 301,777.50 : x
2. Step 2: Convert to fraction form
   138,321/301,777.50 = 301,777.50/x
3. Step 3: Cross multiply
   138,321x = 301,777.50 × 301,777.50
4. Step 4: Simplify right side
   138,321x = 91,069,659,506.25
5. Step 5: Solve for x
   x = 91,069,659,506.25/138,321
6. Step 6: Final answer
   x = 658,393.59