Finding the Third Proportional to 243,914 and 380,139

Step by Step Solution

1. Step 1: Write the proportion equation
   243,914 : 380,139 = 380,139 : x
2. Step 2: Convert to fraction form
   243,914/380,139 = 380,139/x
3. Step 3: Cross multiply
   243,914x = 380,139 × 380,139
4. Step 4: Simplify right side
   243,914x = 144,505,659,321
5. Step 5: Solve for x
   x = 144,505,659,321/243,914
6. Step 6: Final answer
   x = 592,445.12