Finding the Third Proportional to 74,927 and 160,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,927 : 160,541.50 = 160,541.50 : x
2. Step 2: Convert to fraction form
   74,927/160,541.50 = 160,541.50/x
3. Step 3: Cross multiply
   74,927x = 160,541.50 × 160,541.50
4. Step 4: Simplify right side
   74,927x = 25,773,573,222.25
5. Step 5: Solve for x
   x = 25,773,573,222.25/74,927
6. Step 6: Final answer
   x = 343,982.45