Finding the Third Proportional to 156,744 and 342,646

Step by Step Solution

1. Step 1: Write the proportion equation
   156,744 : 342,646 = 342,646 : x
2. Step 2: Convert to fraction form
   156,744/342,646 = 342,646/x
3. Step 3: Cross multiply
   156,744x = 342,646 × 342,646
4. Step 4: Simplify right side
   156,744x = 117,406,281,316
5. Step 5: Solve for x
   x = 117,406,281,316/156,744
6. Step 6: Final answer
   x = 749,032.06