Finding the Third Proportional to 142,346 and 213,124

Step by Step Solution

1. Step 1: Write the proportion equation
   142,346 : 213,124 = 213,124 : x
2. Step 2: Convert to fraction form
   142,346/213,124 = 213,124/x
3. Step 3: Cross multiply
   142,346x = 213,124 × 213,124
4. Step 4: Simplify right side
   142,346x = 45,421,839,376
5. Step 5: Solve for x
   x = 45,421,839,376/142,346
6. Step 6: Final answer
   x = 319,094.60