Finding the Third Proportional to 102,093 and 149,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,093 : 149,674.50 = 149,674.50 : x
2. Step 2: Convert to fraction form
   102,093/149,674.50 = 149,674.50/x
3. Step 3: Cross multiply
   102,093x = 149,674.50 × 149,674.50
4. Step 4: Simplify right side
   102,093x = 22,402,455,950.25
5. Step 5: Solve for x
   x = 22,402,455,950.25/102,093
6. Step 6: Final answer
   x = 219,431.85