Finding the Third Proportional to 201,598.88 and 314,654.63

Step by Step Solution

1. Step 1: Write the proportion equation
   201,598.88 : 314,654.63 = 314,654.63 : x
2. Step 2: Convert to fraction form
   201,598.88/314,654.63 = 314,654.63/x
3. Step 3: Cross multiply
   201,598.88x = 314,654.63 × 314,654.63
4. Step 4: Simplify right side
   201,598.88x = 99,007,533,033.89
5. Step 5: Solve for x
   x = 99,007,533,033.89/201,598.88
6. Step 6: Final answer
   x = 491,111.54