Finding the Third Proportional to 127,783 and 193,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,783 : 193,465.50 = 193,465.50 : x
2. Step 2: Convert to fraction form
   127,783/193,465.50 = 193,465.50/x
3. Step 3: Cross multiply
   127,783x = 193,465.50 × 193,465.50
4. Step 4: Simplify right side
   127,783x = 37,428,899,690.25
5. Step 5: Solve for x
   x = 37,428,899,690.25/127,783
6. Step 6: Final answer
   x = 292,909.85