Finding the Third Proportional to 74,979 and 152,967

Step by Step Solution

1. Step 1: Write the proportion equation
   74,979 : 152,967 = 152,967 : x
2. Step 2: Convert to fraction form
   74,979/152,967 = 152,967/x
3. Step 3: Cross multiply
   74,979x = 152,967 × 152,967
4. Step 4: Simplify right side
   74,979x = 23,398,903,089
5. Step 5: Solve for x
   x = 23,398,903,089/74,979
6. Step 6: Final answer
   x = 312,072.75