Finding the Third Proportional to 99,634 and 152,368

Step by Step Solution

1. Step 1: Write the proportion equation
   99,634 : 152,368 = 152,368 : x
2. Step 2: Convert to fraction form
   99,634/152,368 = 152,368/x
3. Step 3: Cross multiply
   99,634x = 152,368 × 152,368
4. Step 4: Simplify right side
   99,634x = 23,216,007,424
5. Step 5: Solve for x
   x = 23,216,007,424/99,634
6. Step 6: Final answer
   x = 233,012.90