Finding the Third Proportional to 147,174 and 233,199

Step by Step Solution

1. Step 1: Write the proportion equation
   147,174 : 233,199 = 233,199 : x
2. Step 2: Convert to fraction form
   147,174/233,199 = 233,199/x
3. Step 3: Cross multiply
   147,174x = 233,199 × 233,199
4. Step 4: Simplify right side
   147,174x = 54,381,773,601
5. Step 5: Solve for x
   x = 54,381,773,601/147,174
6. Step 6: Final answer
   x = 369,506.66