Finding the Third Proportional to 116,100 and 271,458

Step by Step Solution

1. Step 1: Write the proportion equation
   116,100 : 271,458 = 271,458 : x
2. Step 2: Convert to fraction form
   116,100/271,458 = 271,458/x
3. Step 3: Cross multiply
   116,100x = 271,458 × 271,458
4. Step 4: Simplify right side
   116,100x = 73,689,445,764
5. Step 5: Solve for x
   x = 73,689,445,764/116,100
6. Step 6: Final answer
   x = 634,706.68