Finding the Third Proportional to 72,085 and 157,090

Step by Step Solution

1. Step 1: Write the proportion equation
   72,085 : 157,090 = 157,090 : x
2. Step 2: Convert to fraction form
   72,085/157,090 = 157,090/x
3. Step 3: Cross multiply
   72,085x = 157,090 × 157,090
4. Step 4: Simplify right side
   72,085x = 24,677,268,100
5. Step 5: Solve for x
   x = 24,677,268,100/72,085
6. Step 6: Final answer
   x = 342,335.69