Finding the Third Proportional to 77,654 and 168,002

Step by Step Solution

1. Step 1: Write the proportion equation
   77,654 : 168,002 = 168,002 : x
2. Step 2: Convert to fraction form
   77,654/168,002 = 168,002/x
3. Step 3: Cross multiply
   77,654x = 168,002 × 168,002
4. Step 4: Simplify right side
   77,654x = 28,224,672,004
5. Step 5: Solve for x
   x = 28,224,672,004/77,654
6. Step 6: Final answer
   x = 363,467.07