Finding the Third Proportional to 137,607 and 193,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,607 : 193,783.50 = 193,783.50 : x
2. Step 2: Convert to fraction form
   137,607/193,783.50 = 193,783.50/x
3. Step 3: Cross multiply
   137,607x = 193,783.50 × 193,783.50
4. Step 4: Simplify right side
   137,607x = 37,552,044,872.25
5. Step 5: Solve for x
   x = 37,552,044,872.25/137,607
6. Step 6: Final answer
   x = 272,893.42