Finding the Third Proportional to 146,091 and 195,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,091 : 195,079.50 = 195,079.50 : x
2. Step 2: Convert to fraction form
   146,091/195,079.50 = 195,079.50/x
3. Step 3: Cross multiply
   146,091x = 195,079.50 × 195,079.50
4. Step 4: Simplify right side
   146,091x = 38,056,011,320.25
5. Step 5: Solve for x
   x = 38,056,011,320.25/146,091
6. Step 6: Final answer
   x = 260,495.25