Finding the Third Proportional to 106,700 and 152,484

Step by Step Solution

1. Step 1: Write the proportion equation
   106,700 : 152,484 = 152,484 : x
2. Step 2: Convert to fraction form
   106,700/152,484 = 152,484/x
3. Step 3: Cross multiply
   106,700x = 152,484 × 152,484
4. Step 4: Simplify right side
   106,700x = 23,251,370,256
5. Step 5: Solve for x
   x = 23,251,370,256/106,700
6. Step 6: Final answer
   x = 217,913.50