Finding the Third Proportional to 257,127 and 385,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,127 : 385,444.50 = 385,444.50 : x
2. Step 2: Convert to fraction form
   257,127/385,444.50 = 385,444.50/x
3. Step 3: Cross multiply
   257,127x = 385,444.50 × 385,444.50
4. Step 4: Simplify right side
   257,127x = 148,567,462,580.25
5. Step 5: Solve for x
   x = 148,567,462,580.25/257,127
6. Step 6: Final answer
   x = 577,797.99