Finding the Third Proportional to 71,680 and 141,594

Step by Step Solution

1. Step 1: Write the proportion equation
   71,680 : 141,594 = 141,594 : x
2. Step 2: Convert to fraction form
   71,680/141,594 = 141,594/x
3. Step 3: Cross multiply
   71,680x = 141,594 × 141,594
4. Step 4: Simplify right side
   71,680x = 20,048,860,836
5. Step 5: Solve for x
   x = 20,048,860,836/71,680
6. Step 6: Final answer
   x = 279,699.51