Finding the Third Proportional to 138,423 and 301,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,423 : 301,858.50 = 301,858.50 : x
2. Step 2: Convert to fraction form
   138,423/301,858.50 = 301,858.50/x
3. Step 3: Cross multiply
   138,423x = 301,858.50 × 301,858.50
4. Step 4: Simplify right side
   138,423x = 91,118,554,022.25
5. Step 5: Solve for x
   x = 91,118,554,022.25/138,423
6. Step 6: Final answer
   x = 658,261.66