Finding the Third Proportional to 123,296 and 191,280

Step by Step Solution

1. Step 1: Write the proportion equation
   123,296 : 191,280 = 191,280 : x
2. Step 2: Convert to fraction form
   123,296/191,280 = 191,280/x
3. Step 3: Cross multiply
   123,296x = 191,280 × 191,280
4. Step 4: Simplify right side
   123,296x = 36,588,038,400
5. Step 5: Solve for x
   x = 36,588,038,400/123,296
6. Step 6: Final answer
   x = 296,749.60