Finding the Third Proportional to 92,196 and 147,870

Step by Step Solution

1. Step 1: Write the proportion equation
   92,196 : 147,870 = 147,870 : x
2. Step 2: Convert to fraction form
   92,196/147,870 = 147,870/x
3. Step 3: Cross multiply
   92,196x = 147,870 × 147,870
4. Step 4: Simplify right side
   92,196x = 21,865,536,900
5. Step 5: Solve for x
   x = 21,865,536,900/92,196
6. Step 6: Final answer
   x = 237,163.62