Finding the Third Proportional to 123,830.25 and 191,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,830.25 : 191,326.50 = 191,326.50 : x
2. Step 2: Convert to fraction form
   123,830.25/191,326.50 = 191,326.50/x
3. Step 3: Cross multiply
   123,830.25x = 191,326.50 × 191,326.50
4. Step 4: Simplify right side
   123,830.25x = 36,605,829,602.25
5. Step 5: Solve for x
   x = 36,605,829,602.25/123,830.25
6. Step 6: Final answer
   x = 295,612.98