Finding the Third Proportional to 142,402 and 307,646

Step by Step Solution

1. Step 1: Write the proportion equation
   142,402 : 307,646 = 307,646 : x
2. Step 2: Convert to fraction form
   142,402/307,646 = 307,646/x
3. Step 3: Cross multiply
   142,402x = 307,646 × 307,646
4. Step 4: Simplify right side
   142,402x = 94,646,061,316
5. Step 5: Solve for x
   x = 94,646,061,316/142,402
6. Step 6: Final answer
   x = 664,639.97