Finding the Third Proportional to 78,465 and 167,702

Step by Step Solution

1. Step 1: Write the proportion equation
   78,465 : 167,702 = 167,702 : x
2. Step 2: Convert to fraction form
   78,465/167,702 = 167,702/x
3. Step 3: Cross multiply
   78,465x = 167,702 × 167,702
4. Step 4: Simplify right side
   78,465x = 28,123,960,804
5. Step 5: Solve for x
   x = 28,123,960,804/78,465
6. Step 6: Final answer
   x = 358,426.82