Finding the Third Proportional to 523,380 and 830,094

Step by Step Solution

1. Step 1: Write the proportion equation
   523,380 : 830,094 = 830,094 : x
2. Step 2: Convert to fraction form
   523,380/830,094 = 830,094/x
3. Step 3: Cross multiply
   523,380x = 830,094 × 830,094
4. Step 4: Simplify right side
   523,380x = 689,056,048,836
5. Step 5: Solve for x
   x = 689,056,048,836/523,380
6. Step 6: Final answer
   x = 1,316,550.21