Finding the Third Proportional to 123,798 and 191,376

Step by Step Solution

1. Step 1: Write the proportion equation
   123,798 : 191,376 = 191,376 : x
2. Step 2: Convert to fraction form
   123,798/191,376 = 191,376/x
3. Step 3: Cross multiply
   123,798x = 191,376 × 191,376
4. Step 4: Simplify right side
   123,798x = 36,624,773,376
5. Step 5: Solve for x
   x = 36,624,773,376/123,798
6. Step 6: Final answer
   x = 295,843.01