Finding the Third Proportional to 133,917 and 195,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,917 : 195,748.50 = 195,748.50 : x
2. Step 2: Convert to fraction form
   133,917/195,748.50 = 195,748.50/x
3. Step 3: Cross multiply
   133,917x = 195,748.50 × 195,748.50
4. Step 4: Simplify right side
   133,917x = 38,317,475,252.25
5. Step 5: Solve for x
   x = 38,317,475,252.25/133,917
6. Step 6: Final answer
   x = 286,128.54