Finding the Third Proportional to 72,373 and 149,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,373 : 149,678.50 = 149,678.50 : x
2. Step 2: Convert to fraction form
   72,373/149,678.50 = 149,678.50/x
3. Step 3: Cross multiply
   72,373x = 149,678.50 × 149,678.50
4. Step 4: Simplify right side
   72,373x = 22,403,653,362.25
5. Step 5: Solve for x
   x = 22,403,653,362.25/72,373
6. Step 6: Final answer
   x = 309,558.17