Finding the Third Proportional to 413,411.34 and 561,056.63

Step by Step Solution

1. Step 1: Write the proportion equation
   413,411.34 : 561,056.63 = 561,056.63 : x
2. Step 2: Convert to fraction form
   413,411.34/561,056.63 = 561,056.63/x
3. Step 3: Cross multiply
   413,411.34x = 561,056.63 × 561,056.63
4. Step 4: Simplify right side
   413,411.34x = 314,784,536,456.39
5. Step 5: Solve for x
   x = 314,784,536,456.39/413,411.34
6. Step 6: Final answer
   x = 761,431.78