Finding the Third Proportional to 124,977 and 193,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,977 : 193,567.50 = 193,567.50 : x
2. Step 2: Convert to fraction form
   124,977/193,567.50 = 193,567.50/x
3. Step 3: Cross multiply
   124,977x = 193,567.50 × 193,567.50
4. Step 4: Simplify right side
   124,977x = 37,468,377,056.25
5. Step 5: Solve for x
   x = 37,468,377,056.25/124,977
6. Step 6: Final answer
   x = 299,802.18