Finding the Third Proportional to 71,784 and 147,156

Step by Step Solution

1. Step 1: Write the proportion equation
   71,784 : 147,156 = 147,156 : x
2. Step 2: Convert to fraction form
   71,784/147,156 = 147,156/x
3. Step 3: Cross multiply
   71,784x = 147,156 × 147,156
4. Step 4: Simplify right side
   71,784x = 21,654,888,336
5. Step 5: Solve for x
   x = 21,654,888,336/71,784
6. Step 6: Final answer
   x = 301,667.34