Finding the Third Proportional to 401,071.50 and 601,684.88

Step by Step Solution

1. Step 1: Write the proportion equation
   401,071.50 : 601,684.88 = 601,684.88 : x
2. Step 2: Convert to fraction form
   401,071.50/601,684.88 = 601,684.88/x
3. Step 3: Cross multiply
   401,071.50x = 601,684.88 × 601,684.88
4. Step 4: Simplify right side
   401,071.50x = 362,024,688,803.77
5. Step 5: Solve for x
   x = 362,024,688,803.77/401,071.50
6. Step 6: Final answer
   x = 902,643.77