Finding the Third Proportional to 137,377.50 and 299,946

Step by Step Solution

1. Step 1: Write the proportion equation
   137,377.50 : 299,946 = 299,946 : x
2. Step 2: Convert to fraction form
   137,377.50/299,946 = 299,946/x
3. Step 3: Cross multiply
   137,377.50x = 299,946 × 299,946
4. Step 4: Simplify right side
   137,377.50x = 89,967,602,916
5. Step 5: Solve for x
   x = 89,967,602,916/137,377.50
6. Step 6: Final answer
   x = 654,893.29