Finding the Third Proportional to 77,817 and 151,746

Step by Step Solution

1. Step 1: Write the proportion equation
   77,817 : 151,746 = 151,746 : x
2. Step 2: Convert to fraction form
   77,817/151,746 = 151,746/x
3. Step 3: Cross multiply
   77,817x = 151,746 × 151,746
4. Step 4: Simplify right side
   77,817x = 23,026,848,516
5. Step 5: Solve for x
   x = 23,026,848,516/77,817
6. Step 6: Final answer
   x = 295,910.26