Finding the Third Proportional to 31,179 and 68,316

Step by Step Solution

1. Step 1: Write the proportion equation
   31,179 : 68,316 = 68,316 : x
2. Step 2: Convert to fraction form
   31,179/68,316 = 68,316/x
3. Step 3: Cross multiply
   31,179x = 68,316 × 68,316
4. Step 4: Simplify right side
   31,179x = 4,667,075,856
5. Step 5: Solve for x
   x = 4,667,075,856/31,179
6. Step 6: Final answer
   x = 149,686.52