Finding the Third Proportional to 157,746.50 and 342,109

Step by Step Solution

1. Step 1: Write the proportion equation
   157,746.50 : 342,109 = 342,109 : x
2. Step 2: Convert to fraction form
   157,746.50/342,109 = 342,109/x
3. Step 3: Cross multiply
   157,746.50x = 342,109 × 342,109
4. Step 4: Simplify right side
   157,746.50x = 117,038,567,881
5. Step 5: Solve for x
   x = 117,038,567,881/157,746.50
6. Step 6: Final answer
   x = 741,940.82