Finding the Third Proportional to 148,641 and 223,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,641 : 223,009.50 = 223,009.50 : x
2. Step 2: Convert to fraction form
   148,641/223,009.50 = 223,009.50/x
3. Step 3: Cross multiply
   148,641x = 223,009.50 × 223,009.50
4. Step 4: Simplify right side
   148,641x = 49,733,237,090.25
5. Step 5: Solve for x
   x = 49,733,237,090.25/148,641
6. Step 6: Final answer
   x = 334,586.27