Finding the Third Proportional to 125,657 and 194,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,657 : 194,317.50 = 194,317.50 : x
2. Step 2: Convert to fraction form
   125,657/194,317.50 = 194,317.50/x
3. Step 3: Cross multiply
   125,657x = 194,317.50 × 194,317.50
4. Step 4: Simplify right side
   125,657x = 37,759,290,806.25
5. Step 5: Solve for x
   x = 37,759,290,806.25/125,657
6. Step 6: Final answer
   x = 300,494.93