Finding the Third Proportional to 103,737 and 164,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,737 : 164,677.50 = 164,677.50 : x
2. Step 2: Convert to fraction form
   103,737/164,677.50 = 164,677.50/x
3. Step 3: Cross multiply
   103,737x = 164,677.50 × 164,677.50
4. Step 4: Simplify right side
   103,737x = 27,118,679,006.25
5. Step 5: Solve for x
   x = 27,118,679,006.25/103,737
6. Step 6: Final answer
   x = 261,417.61