Finding the Third Proportional to 96,410 and 148,280

Step by Step Solution

1. Step 1: Write the proportion equation
   96,410 : 148,280 = 148,280 : x
2. Step 2: Convert to fraction form
   96,410/148,280 = 148,280/x
3. Step 3: Cross multiply
   96,410x = 148,280 × 148,280
4. Step 4: Simplify right side
   96,410x = 21,986,958,400
5. Step 5: Solve for x
   x = 21,986,958,400/96,410
6. Step 6: Final answer
   x = 228,056.82