Finding the Third Proportional to 93,564 and 137,470

Step by Step Solution

1. Step 1: Write the proportion equation
   93,564 : 137,470 = 137,470 : x
2. Step 2: Convert to fraction form
   93,564/137,470 = 137,470/x
3. Step 3: Cross multiply
   93,564x = 137,470 × 137,470
4. Step 4: Simplify right side
   93,564x = 18,898,000,900
5. Step 5: Solve for x
   x = 18,898,000,900/93,564
6. Step 6: Final answer
   x = 201,979.40